Flux through each of the six faces of the cube: 
Explanation:
In this problem, a charge
is placed at the center of the cube.
We can apply Gauss Law, which states that the flux through the surface of the cube is equal to the charge contained within the cube divided by the vacuum permittivity; mathematically:

where
is the charge
is the vacuum permittivity
Here we want to find the flux through each of the six faces of the cube.
By simmetry, we can say that the 6 faces are identical: therefore, the flux through each of them must be the same. This means that the flux through each faces is 1/6 of the total flux through the total surface, therefore:

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Answer:
The angle of refraction is 41.68°.
Explanation:
The refractive index for water is
, and for air
: the angle of light with the normal is
; therefore Snell's law gives






Answer:
D. The net electrical charge of the Earth.
Explanation:
All the other three choices affect the gravitational force. I remember from middle school.
Explanation:
As the given data is as follows.
h = 
= 
Also, we know that r = 
and Volume (V) = 
= 
= 
And, 

Putting the given values into the above formula as follows.

[tex]\frac{dh}{dt} = 1.343 m/min
or, = 134.3 cm/min (as 1 m = 100 cm)
thus, we can conclude that the height changing at 134.3 cm/min when the pile is 2 m high.